• 호남수학학술지
• /
• 제21권1호
• /
• pp.43-47
• /
• 1999

In this paper we show that in case of Noetherian ring R(1) if R is coprimely packed then R((X)) is coprimely packed and (2) if Max(R) is coprimely packed then so is MaxR((X)).

• 대한수학회지
• /
• 제48권1호
• /
• pp.191-205
• /
• 2011

It is well known that for a Krull domain R, the divisor class group of R is a torsion group if and only if every subintersection of R is a ring of quotients. Thus a natural question is that under what conditions, for a non-Krull domain R, every (t-)subintersection (resp., t-linked overring) of R is a ring of quotients or every (t-)subintersection (resp., t-linked overring) of R is at. To address this question, we introduce the notions of *-compact packedness and *-coprime packedness of (an ideal of) an integral domain R for a star operation * of finite character, mainly t or w. We also investigate the t-theoretic analogues of related results in the literature.